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Finding the Fourth Proportional to 20,640.37, 28,484 and 11,687.68

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Solution

The fourth proportional to 20,640.37, 28,484 and 11,687.68 is: 16,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.37 : 28,484 = 11,687.68 : x
  2. Step 2: Convert to fraction form
    20,640.37/28,484 = 11,687.68/x
  3. Step 3: Cross multiply
    20,640.37x = 28,484 × 11,687.68
  4. Step 4: Simplify right side
    20,640.37x = 332,911,877.12
  5. Step 5: Solve for x
    x = 332,911,877.12/20,640.37
  6. Step 6: Final answer
    x = 16,129.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.